MathematicsCoreMTH-PROB-199
Bayes' Theorem
total probability, prior/posterior, diagnostic testing, base rates
- Difficulty
- 3 / 5
- Importance
- 5 / 5
- Study time
- 4–7.5 h
- Kind of work
- Mixed
Why it matters
Reverses conditional probabilities — the basis of diagnosis, spam filters and Bayesian statistics.
Where it is used
Spam filtering, medical diagnostics, A/B test interpretation, Bayesian ML.
How you know you have learned it
Solve ≥10 representative problems with ≥80% adjusted accuracy.
Resources
- An Introduction to Probability Theory (Vol 1) — William Feller Book
- Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang Book
- Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang Book